As likewise discussed in that technical note, this table might include things like the move from phlogiston/caloric theories, through the recognition that heat is a form of disordered energy to which statistical inference applies, and through the entropy-first approaches which gained a foothold in the 19th century with Maxwell, Boltzmann plus Gibbs and have pretty much taken over senior-undergrad physics texts (with Tom Moore's intro-physics text being one of the first to take that path). The 20th-century correlation-first strategy, which brings statistical physics back into contact with the broader application areas of statistical inference, is finding major applications e.g. in data compression and clade analysis, but is not yet widely discussed in context of its promise for helping us with modern cross-disciplinary challenges like community health. General systems theory already has a track record in that regard.
Here again, most 20th century intro-physics books bring students up only into the 19th century (pink row). For physics majors, thankfully, senior undergrad books had by century's end almost all moved well into the 20th.
Related references:
Ludwig Boltzmann, Theoretical physics and philosophical problem, S. G. Brush (Trans.). Boston: Reidel. (Original work published 1886)
J.W. Gibbs (1873) "A method of geometrical representation of thermodynamic properties of substances by means of surfaces", reprinted in The Collected Works of J. W. Gibbs, Volume I Thermodynamics, ed. W. R. Longley and R. G. Van Name (New York: Longmans, Green, 1931) footnote page 52.
Claude E. Shannon and Warren Weaver (1949, 1975-6th ed) The mathematical theory of communication (University of Illinois Press, Urbana IL).
E. T. Jaynes (1957) "Information theory and statistical mechanics", Physical Review 106:620 (link).
J. Castle, W. Emmenish, R. Henkes, R. Miller, and J. Rayne (1965) Science by Degrees: Temperature from Zero to Zero (Westinghouse Search Book Series, Walker and Company, New York) snippets.
Leon Brillouin (1959/1962) Science and Information Theory (Academic Press, NY).
M. Tribus and E. C. McIrvine (1971) "Energy and information", Scientific American 224:179-186.
Seth Lloyd (1989) "Use of mutual information to decrease entropy: Implications for the second law of thermodynamics", Physical Review A 39, 5378-5386 (link).
Charles H. Bennett, Ming Li and Bin Ma (May 11, 2003), "Chain Letters and Evolutionary Histories", Scientific American.
P. Fraundorf (2003) "Heat capacity in bits", Amer. J. Phys. 71:11, 1142-1151 (link).
Elad Schneidman, Susanne Still, Michael J. Berry II, and William Bialek (2003) "Network information and connected correlations", Phys. Rev. Lett. 91:23, 238701 (link).
G. D. Stormo and D. S. Fields (1998) "Specificity, energy and information in DNA-protein interactions", Trends in Biochem. Sci. 23, 109-113.
Eric J. Chaisson (2001) Cosmic evolution: The rise of complexity in nature (Harvard University Press, Cambridge MA) preview.
James P. Sethna (2006) Entropy, order parameters and complexity (Oxford U. Press, Oxford UK) (e-book pdf).
P. Fraundorf (2013) ``Task layer-multiplicity as a community order parameter" arXiv:1306.5185 [physics.gen-ph]webnotes.